Question

9. Here are two expressions with a missing number:

Expression 1: • Expression 2: + 4

Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)

Answer 1

Use the sr(3)

All the other options are rational 32/10, 2/3, 23/99.
Multiplying two fractions is always rational.
Adding 4 to a rational number will also be rational.